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Finding the Third Proportional to 251,269 and 546,834

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Solution

The third proportional to 251,269 and 546,834 is: 1,190,068.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,269 : 546,834 = 546,834 : x
  2. Step 2: Convert to fraction form
    251,269/546,834 = 546,834/x
  3. Step 3: Cross multiply
    251,269x = 546,834 × 546,834
  4. Step 4: Simplify right side
    251,269x = 299,027,423,556
  5. Step 5: Solve for x
    x = 299,027,423,556/251,269
  6. Step 6: Final answer
    x = 1,190,068.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.